Question

x - y = 4
x + y = 8

The x-coordinate of the solution to the system shown is _____.

2
4
6
12

Answer 1

Solve x−y=4;x+y=8
Steps:
I will try to solve your system of equations.
x−y=4;x+y=8
Step: Solve x−y=4 for x:
x−y+y=4+y(Add y to both sides)
x=y+4
Step: Substitute (y+4) for x in x+y=8:
x+y=8
y+4+y=8
2y+4=8(Simplify both sides of the equation)
2y+4+−4=8+−4(Add -4 to both sides)
2y=4
2y2=42(Divide both sides by 2)
y=2
Step: Substitute (2) for y in x=y+4:
x=y+4
x=2+4
x=6(Simplify both sides of the equation)
Answer:
x=6 and y=2